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Finding the Fourth Proportional to 7,700.91, 10,627.26 and 4,164.12

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Solution

The fourth proportional to 7,700.91, 10,627.26 and 4,164.12 is: 5,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.91 : 10,627.26 = 4,164.12 : x
  2. Step 2: Convert to fraction form
    7,700.91/10,627.26 = 4,164.12/x
  3. Step 3: Cross multiply
    7,700.91x = 10,627.26 × 4,164.12
  4. Step 4: Simplify right side
    7,700.91x = 44,253,170.30
  5. Step 5: Solve for x
    x = 44,253,170.30/7,700.91
  6. Step 6: Final answer
    x = 5,746.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.